190
Views
0
CrossRef citations to date
0
Altmetric
Articles

Boundary optimal control design for a system of parabolic–hyperbolic PDEs coupled with an ODE

, , &
Pages 1499-1509 | Received 18 Nov 2017, Accepted 15 Aug 2018, Published online: 31 Aug 2018

References

  • Aksikas, I. (2005). Analysis and LQ-optimal control of infinite-dimensional semilinear systems: Application to a plug flow reactor (PhD). Université Catholique de Louvain, Belgium.
  • Aksikas, I., Alizadeh Moghadam, A., & Forbes, J. F. (2017). Optimal linear-quadratic control of coupled parabolic–hyperbolic PDEs. International Journal of Control, 90(10), 2152–2164. doi: 10.1080/00207179.2016.1237046
  • Aksikas, I., & Forbes, J. F. (2010). On asymptotic stability of semi-linear distributed parameter dissipative systems. Automatica, 46(6), 1042–1046. doi: 10.1016/j.automatica.2010.02.030
  • Aksikas, I., Fuxman, A., Forbes, J. F., & Winkin, J. J. (2009). LQ control design of a class of hyperbolic PDE systems: Application to fixed-bed reactor. Automatica, 45, 1542–1548. doi: 10.1016/j.automatica.2009.02.017
  • Aksikas, I., Winkin, J. J., & Dochain, D. (2004, December 14–17). Stability analysis of an infinite-dimensional linearized plug flow reactor model. 43rd IEEE Conference on Decision and Control (CDC), Nassau, Bahamas (Vol. 4, pp. 2417–2422). IEEE.
  • Aksikas, I., Winkin, J. J., & Dochain, D. (2007). Optimal LQ-feedback regulation of a nonisothermal plug flow reactor model by spectral factorization. IEEE Transactions on Automatic Control, 52(7), 1179–1193. doi: 10.1109/TAC.2007.900823
  • Alizadeh Moghadam, A., Aksikas, I., Dubljevic, S., & Forbes, J. F. (2010). LQ control of coupled hyperbolic PDEs and ODEs: Application to a CSTR-PFR system. IFAC Proceedings Volumes, 43(5), 721–726. doi: 10.3182/20100705-3-BE-2011.00119
  • Alizadeh Moghadam, A., Aksikas, I., Dubljevic, S., & Forbes, J. F. (2013). Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs. Automatica, 49, 526–533. doi: 10.1016/j.automatica.2012.11.016
  • Bensoussan, A., Da Prato, G., Delfour, M. C., & Mitter, S. K. (2007). Representation and control of infinite dimensional systems (2nd ed.). Boston, MA: Birkhäuser.
  • Christofides, P. D. (1998). Robust control of parabolic PDE systems. Chemical Engineering Science, 53(16), 2949–2965. doi: 10.1016/S0009-2509(98)00091-8
  • Curtain, R. F., & Zwart, H. J. (1995). An introduction to infinite-dimensional linear systems theory. New York, NY: Springer-Verlag.
  • Dvorak, V. (2009). Modeling and control of after-treatment systems for diesel combustion engines (PhD dissertation). Czech Technical University in Prague.
  • Mohammadi, L., Aksikas, I., Dubljevic, S., & Forbes, J. F. (2012). LQ-boundary control of a diffusion–convection–reaction system. International Journal of Control, 85(2), 171–181. doi: 10.1080/00207179.2011.642308
  • Ng, J., Aksikas, I., & Dubljevic, S. (2013). Control of parabolic PDEs with non-autonomous spatial domain: Czochralski crystal growth process. International Journal of Control, 86(9), 1467–1478. doi: 10.1080/00207179.2013.786187
  • Williams, J. (2001). Monolithic structures, materials, properties and uses. Catalysis Today, 69, 3–9. doi: 10.1016/S0920-5861(01)00348-0
  • Winkin, J. J., Dochain, D., & Ligarius, P. (2000). Dynamical analysis of distributed parameter tubular reactors. Automatica, 36, 349–361. doi: 10.1016/S0005-1098(99)00170-3

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.